Speaker: Professor Mikhail Belkin, Department of Computer Science and Engineering, The Ohio State University

Host: John Hogden, Information Sciences, CCS-3

Title: Manifold and Semi-supervised Learning using Laplace Operations

Contact Ron Pistone, pistone@lanl.gov, (7-3874), if you wish to meet with Mikhail during his visit.

Abstract:

In this talk I will discuss our work on manifold learning and its applications to data representation,semi-supervised and unsupervised learning. In particular, I will discuss the significance of theLaplace operator on the manifold and its connections to the heat diffusions. I will show some theoretical results on reconstructing Laplace operators and their eigenfunctions from point-cloud data and various applications, particularly to dimensionality reduction and semi-supervised learning.